One of the simplest examples of W-algebras is the Bershadsky-Polyakov vertex algebra W∧k(g,f), associated to g=sl(3) and the minimal nilpotent element f. We study the simple Bershadsky-Polyakov algebr...
Motivated by the study of smoothings of rational surface singularities as well as symplectic fillings of plumbed 3-manifolds, we consider an analogue problem in a purely topological setting. The quest...
We consider some problems concerning the geometry of the Chern connection, including: metrics with constant Chern-scalar curvature; the generalizations of the Kähler-Einstein condition to the non-Kähl...
I'll present a recent joint work with A. Buryak and D. Zvonkine, where we study the moduli spaces of residueless meromorphic differentials, i.e., the closures, in the moduli space of stable curves, of...
A horocycle in the unit disk of the complex plane is a euclidean disk which is internally tangent to a point p of the boundary of the disk. Horocycles are limits of Poincaré balls as the center moves ...
In a pioneering 1981 paper De Concini and Procesi provided a beautiful description for cohomology of fixed point sets (Springer fibers) (G/B)_ϵ in type A. This was an important precursor to two later...
This is a joint work with G. Courtois, S. Gallot and A. Sambusetti. We shall prove that, given two positive numbers and H, there are finitely non cyclic torsion-free -hyperbolic marked groups (Γ.Σ) sa...
Campana proposed a series of conjectures relating algebro-geometric and complex-analytic properties of algebraic varieties and their arithmetic. The main ingredient is the definition of the class of s...
Sia G un gruppo algebrico semplice definito sui complessi e sia K un sottogruppo riduttivo di G, chiuso nella topologia di Zariski. La varietà omogenea G/K è detta senza molteplicità se ogni component...
Yamabe flow is an intrinsic geometric flow that deforms the metric of a Riemannian manifold. If the flow converges, it deforms the metric to a metric of constant scalar curvature with the sign dependi...
